Outline the necessary transformations to prove cbf = edf using a paragraph proof. be sure to name specific sides or angles used in the transformation and any congruency statements.

See the explanation.

Step-by-step explanation:

Given  CB║ED And CB≅ED

Since it is given that CB≅ED

The ΔDEF is a reflection of ΔCBE along point 'E'

So, the point 'E' is center of reflection.

And we know under point reflection the images do not change size and shape.

So the sides of both triangles are same, angle will be the same.

Here we can see ∠DEF = ∠BCF  and ∠EDF=∠CBF  also CB=ED

Then ΔDEF≅BCE

Both of these figures are congruent to each other. We know this because we are given that CB and ED are about equal to each other. We also can see that Triangle DFE is reflected across point  E.  Reflections do not impact sides length or shapes size. Triangle EDF is congruent to Triangle CBF.

Step-by-step explanation:

Above

the input value is the number of times you fold it. the input value is also known as the x-value. 

the output value is its thickness. the output value is the y-value.

when you don't fold it all, the thickness will remain the same, which is 1. the ordered pair would be (0,1).

when you fold it once, the thickness will double from 1 to  2. the ordered pair would be (1,2).

when you fold it a second time, the thickness will double from 2 to  4. the ordered pair would be (2,4).

fold it one more time, and the thickness will be 8. the ordered pair is (3,8)

fold it the fourth time, and the thickness doubles. 8 x 2 = 16. the ordered pair is (4,16)

fold it the fifth time, and the thickness goes from 16 to 32. the ordered pair is (5,32)

the ordered pairs would be:

(0,1)

(1,2)

(2,4)

(3,8)

(4,16)

(5,32)

(6,64)

(7,128)

and so on : p

the question asks for 6 ordered pairs, so i bolded the first six.

now, the equation for this would be 

if we graph that, and we do the vertical line test, then we know this is a function.

it is a function because each x-value has a different y-value. there are no y-values that have the same x-values.

i have attached the graph of that line.

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step-by-step explanation: